Many digital reverbs have a certain amount of "predelay" baked into the design of the chip, to simulate what happens in a room when a note is played; you don't hear reverb right away, it has to bounce off a surface in the room (wall, floor, ceiling) first. A real reverb in an amp generally happens right away, enveloping the note in the wash of simulated reverb; they didn't have predelay when the early reverb amps were invented.
To add to this issue, in the fraction of a second that it takes to convert the signal from analog to digital and back again, it probably isn't going to be exactly like analog. This is because digital conversion from A to D and from D to A creates latency. If you remember using Pro Tools, there's some latency in monitoring as the converters do their work. It can be audible, or not.
So it could be the predelay baked into the design that you're hearing, or the latency of the analog to digital and back to analog that you're hearing, or some combination of both.
My guess is that to get what you want, you're going to have to use the Bruno standalone reverb with your non-reverb amps, which let's face it, is the real deal and why you bought it in the first place.
Incidentally, the tiny bit of latency introduced in digital modeling amps causes them to not do as well on the attack of the transient part of the note, at least to my ears, and it's why I don't like using them.
As an aside, I once had an all-analog Peavey rack mount spring reverb that sounded very good and has become something of a cult item among studio guys, but schlepping it around just became too much of a pain for me, so I sold it and learned to live with digital stuff.