It won't affect the intonation, but you can get too great a break angle on the strings. Especially with a floating bridge, that could make it very unstable. A floating bridge is designed to be mainly pressed down under string pressure. Put too much sideways force on it and its not working how it is designed to work. The kit would be better off with a trapeze tailpiece, but 5-string bass trapeze tailpieces aren't common at all, and certainly there were no cheap Chinese made ones that I could find.

It would be a good candidate for a one-piece bridge/tailpiece. It might mean a small re-jig of the neck angle to get the string height over the body down, and a flattening of the arch top where the bridge would sit, but I'm sure it could be done.

You don't want the thick part of the heavier bass strings going round the tuners, especially the ones with smaller post diameters. They are too thick to bend properly and you are likely to get the windings snapping or cracking, with the string failing as a result. The string also won't sit (at least initially) properly against the post, so tuning will be lost as the string slowly pulls itself towards the post.