I did not have a gotoh, but my Jag DID have a Tune-O-Matic ABR bridge on it when I bought it.......

You can use a trem with a Tune-O-Matic, however, it will kill the sustain of the strings when using the bar as they will not be rolling with the saddles. That's why I did this, because the rocker bridge aided the sustain when bending the bar down.....though the custom made trim rings are another thing.

As for hardtail, I don't see any issues, except the age old fretboard radius issue. The saddles would need filed for the action to be consistant for all 6 strings.