V70II: Automatic gearbox from diesel to turbo petrol

Hello to the Volvo-experienced screwdrivers here in the Volvo Forum, due to a very probable transmission defect on my Volvo V70 II, EZ 2002, 2.0 Turbo with Aisin Warner gearbox AW55-50SN, I have become aware of a used transmission in the net that originally came from a V70II diesel. Can anyone confirm that this transmission fits into the Baby Turbo petroler? The following numbers are noted on the type plate of the new (used) transmission on the type plate: AW5 5-50 SN, series No.: 01LV713557, another no.: 8567-365 The numbers on my current, probably defective gearbox: AW55-50 SN, series No.: 02EV729727, another no.: 8636-762 The Volvo dealer here from the area wraps himself in silence, maybe it is too much work for him to check that, maybe he just can’t or doesn’t want to say anything, because he wants to sell a new one, which is not possible (time value of the vehicle), a overhaul yes also 280€ plus cost et. I would be very pleased to get a few answers from knowledgeable Volvo Specis, which will help me with this problem, because the car slowly costs nerves and above all, a lot of money. Yes, I know Volvo driving is not cheap… I’m happy to get it, but it still has to stay within reasonable framework.