The Broomhandle is an interesting piece of firearm history. If the price were low enough, it would be a fun gun to have and play with.
But, unless the one you buy is in "near-to-new" condition, you'll be spending a lot of money for a gun that isn't likely to be sought by a collector or bought by a more-discerning shooter.
(I've heard of guys who paid a lot for guns like nickel-plated Lugers, only to find that they can't sell those guns, later, for anywhere near their purchase price. I suspect that would be the case here, too.)
If it's not collectible -- and collectors prefer guns in much better shape -- you can spend a lot less than $2000 for guns that are a lot more fun to shoot and a lot less hard to find parts for -- or for guns that may have some "collector" value. These other two class of guns may even increase in value faster than inflation -- though it's not likely.
If I had $2000, I would be on the lookout for a nice used SIG P-210; if I found one -- and I think that's possible, I might later be able to sell if for what I paid for it, or a bit more, if I ever NEED to sell it. (And while I don't buy guns thinking I will later WANT to sell them, stuff happens, medical emergencies, etc., and having a gun that can be converted to cash is a good thing.)