I dunno... I am probably a renter for life, but that's just me.
I think buying a home is one of the wildest things one can do in most areas and situations. It doesn't make sense to me unless you are a PP owner/partner or the job is 99% rock solid. For most, it locks you down, it forces you into more debt, creates a large fixed monthly payment, and it makes you work for the house (lawn/snow/leaf, repairs, insurances, improvements, tools, decor, "gotta have a truck now that I own a house," etc etc). The "owning is cheaper (monthly) than renting" is usually totally false. It's a lifestyle choice through and through. It is funny to me that when you "own" a house, you pay taxes on it, are required to fix it, follow HOA or city zoning rules, required to insure it (since the bank owns it, not you), etc. Wouldn't it seem that if you truly owned the land or house, taxes would be paid to you and you'd make the rules? That is not to mention all of the thousand$ and thousand$ home owners like to put into endless improvements that they'd largely ignore or the landlord is on the hook for if they were renting. People can say they enjoy that Home Depot stuff all they like... it costs substantial money and time.
The equity myth is also somewhat false. Sure, you get 10x or 5x or whatever down payment leverage your on something that goes up typically, but how often do people downsize when they move from house to house? They will very likely be selling in a good/bad housing market and buying in that same market (to use homestead or 1031). You just hit that point in your OP post above. So, if sellers get "great profit" from their house, they will overpay for their next. If they "do poorly" on their sale, they can probably find a bargain to move to due to the market. My buddies who bought a "250k house" that are now "500k house" aren't moving anytime soon... and most took out 100k in loans over their mortgage for new landscaping, windows, flooring, countertops, etc. They can now borrow like a fiend to buy nicer toys or whatever based on the presently inflated equity value (on paper), but is that a good thing? Either way, the home appreciation is a myth unless the sellers jump out the homeowner game and into renting or actually retirement downsize or something (and very few do that with the house they use as primary residence... profit taking in real estate is mostly just investors and flippers and such).
Now, renters obviously have a payment also, and you will always pay to live (in monthly rent cost or monthly mortgage/ins payment or opportunity cost of not renting out even a paid off house). When you rent, the main strength is that rental unit can be easily dropped or changed if a better rental, better job, etc comes up. It allows you to go where you are treated best. When you rent, the house/apt also works for you... if something breaks, the owner fixes it and/or whips out the wallet to pay for it. That is important when you get up at 0600 for surgery and might stay late doing charts to max job income... you don't want to be trying to fix a roof on the weekend (at least I sure don't). If it's something substantial that breaks (appliance, garage door, plumbing, etc), renters might even ask to get a rent discount that month for the inconvenience (whereas homeowner has an urgent job to do). Last, you tend not to over-accumulate stuff if you don't own since you don't need to buy a lot of the tools or appliances and you usually don't have as much sense of permanence or as much space to "fill up." Renting can be a lot more conducive to the minimalist lifestyle.
...as far as the supplemental income, for docs, the best side hustle is usually just getting more out of your current gig. That means marketing, working more days, increasing your per patient with services, etc. If you are underemployed (part time or just not busy), you could always consolidate days and/or pick up other work on your days off. Besides bring money in the front door and limiting spending, the finance bird's other wing is always Investing wisely and with the highest saving rate you can make happen. We are likely coming up on a great market timespan to gain substantially more shares... we will see how the new develops, but it's probably will the best S&P volatility since beginning COVID early 2020.