Anyone ever buy/sell home with assumable mortgage ?

Just curious as to how it works.

We bought our house a little over 2 years ago - used FHA for finance and the mortgage is around 2.5% over 30 years.

Of course rates are much higher right now - and was just curious does this help the value of the home and marketability if we decided to move? Would think it would be a huge selling point - and likely make the house worth more as the payment goes up several hundred at current rates vs the rate I have now - and qualifying for a FHA loan is relatively very simple.

In the past - when I read up on this it wasn’t as common a situation as rates were low and inflation relatively tame. Even when you found one that had a much lower rate - it typically had less than 15-20 years remaining - meaning you had to come up with a much larger down or bigger 2nd mortgage. Now in current market there’s going to be a lot of people in similar situations - holding FHA loans that are relatively large relative to value - but at a much better rate than you could find on the market. Shouldn’t this help the price of these houses ? I mean if your option is a 250k house at 6% or a 300k house at 2.6% for 250k of that - aren’t you still better off long term with the higher priced home and lower interest ?? Even putting down the same 50k (and over paying 50k for the higher priced home) - your payment is over $150 LESS per month. Unless your planning on paying cash or paying off in under 10 years - it makes more sense to buy something that cost more but has a lower interest rate.