Amati's 1-1/2F was based on a purpose-made design from the 1980s or 1990s, which was effectively a flugelhorn cup with a shaved-down trumpet blank. When Amati introduced the heavyweight [Yamaha-esque] "Virtuoso" series in the 2000s, the design was modified to the form we see here. It's still made today, and is standard issue with the AFH-201 [B-226] & AFH-204 compact flugelhorns, AFH-601 & Cerveny VFC-FH6232 tall-profile flugelhorns, and the ABG-201 clairon bugle.
The rim diameter is close to the Vincent Bach 1-1/2B. The cup shape is more akin to a deep cornet type, more so than many flugelhorn mouthpieces - if a Bach 1-1/2A existed, it would be close to this Amati-Kraslice piece.
Strangely enough, the Amati's close to the Martin 1 cornet/flugelhorn pieces, the Getzen version of the 4B, and is a bit smaller than the Denis Wick S soprano cornet. The Amati is actually a bit shallower than the Bach 5V and slightly deeper than the 5A, 7A, and Yamaha 8E2.
Why is that? Christine Derksen of Conn Loyalist and others have mentioned that European flugelhorn repertoire often has melody/descant parts in a rather high register, compared to American jazz/marching band flugelhorn parts.
For instruments designed in Europe, this makes sense to include a medium-depth mouthpiece as a compromise. The A&S 6T is an even shallower V-funnel mouthpiece in that vein.
While this mouthpiece probably won't turn you into Chuck Mangione, it does sound a bit clearer than massively-deep Oakes and Courtois pieces. The sound is closer to Bach-style flugelhorn mouthpieces, but not bad. The large rim takes chops and lungs to control, but overall it's a nice piece. I personally find it far too wide for comfort, but it might be fine for you!