The 34 box, if in good condition will drive ok. I have a 39-ish box in my 34 but it has the old synchro design. It drives nice. You have to load the synchros in a certain way, applying moderate to firm pressure but not hurrying them. They will synchronise and engage the gear without crunching. They are "constant load" synchros. The later type will apply more synchronising force with added force on the stick. The earlier design will not. Hence the need to apply a steady load and wait for it to engage. I ran the 34 box that was in my 33 when I got it and that too was all right.
Your 34 box, if rebuild with good parts would drive ok and not clash when engaging gears.
That said, a box with later gears and synchros is better still.
Mart.