The polymer is something I was never really comfortable with.
But, there were tons of advantages: Low sight line, nice sights & trigger, good balance. I have no idea how they shoot out of a machine rest. But, they balanced so well and were easy to handle in regard to follow-through and recovery that I didn't really care.
It was being able to switch between .22 and .32 where it really shined. Some folks switched out the barrel for a fast twist Douglas blank to improve 50 yd performance. But, if you're shooting indoors (50 ft to 25 yds) you probably won't notice.
There were two variations of the .32 upper, with the early one being more prone to cracking.
Overall, you gotta hand it to Hämmerli. They came out with an unheardof new design and executed it with an amazing amalgam of new materials and manufacturing techniques.
Sadly, this was one of the last designs to emerge from the original Lenzberg Hämmerli factory. From then on, they really shifted a lot of production to outside manufacture.
Personally, I feel they are over-valued on the used market. They are a risky purchase due to parts issues and risk of failure for some major components. If you could get a complete package with both .22 & .32 units, in the case with all tools and documents for $1000, that might be a good bet. But, for $2K or so, I'd go with a Walther GSP, hold out for a Pardini. Another great choice is the older Sako Triace. Incredible build quality, all steel, but more traditional with mag in grip frame design.
Pardini must have been paying attention because they took all the advantages and improved on the weaknesses. They're Bullseye edition .22/.32 convertible is probably the "best of the best" for this genre of target pistol.