I don't see any reason why it would not.
While a97 is many versions old, it still runs very well on windows XP. I
used it many times on windows XP.
There is a very common install problem that warns about licensing, but there
is a free download to fix this.
In fact, you can even run 20 years old version of VisiCalc on a brand new
PC!
Microsoft has probably the track record when it comes to forward
compatibility in the software industry.