How many gallons did you get out of the expansion tank with it full and the pump shut off?
Enough to flush a toilet 2x ? If so, your tank bladder may be OK. with a 6 gallon drawdown on a 25 gross gallonage tank,
During low demand The X-trol tank provides water pressure to the home - the pump fills the tank.
Do you have a second floor with shower?
you will likely need near 60 psi to get decent flow from a shower head in an upstair bathroom if the pump is in the basement.
I have a drilled well with a new glassfibre tank and a variable speed pump with motor controller( hate it) . I have a smaller one than before as we are only two people and very conservative on water use.
Suggestion - get your water tested to make sure it's safe ( bacteria, MTBE, fluoride, dissolved RADON etc)
Another thing if you have the bladder over-pressurised, you will know as you will have the water flow cutoff before the pump starts.
So you may have a faucet running, then nothing. Then a couple seconds later water again = tank precharge above pump cut-ON.
I run my tank 5 psig below pump cutoff. I suppose this gives me a bit more tank capacity - I don't think it would hurt anything (?)
My tank is a wellmate with a balloon inside a fibreglass hemisphere, not a diaphram AFAIKR.
good luck you should be fine.