Well something very similar that’s for sure; but, as you’ve figured, cement boards aren’t designed to be used unsupported. Although it’s stable & quiet tough, it is rather brittle if not fully supported & this is going to be fairly difficult to achieve on a patio table. All the outside use tiled tables I have seen are made from a concrete base & the tiles fixed straight onto that.
A ply table top would need to be a 22 -25mm thick or it’s going to flex & there go your tiles & it must be thoroughly sealed so that no moisture cant get in or your going to have expansion/contraction in the timber & there go your tiles again; I wouldn’t hold out much hope achieving 100% sealing. You’re still going to have a problem with the tiled surface unless you tank it; it’s only the very expensive epoxy adhesives & grout that are & truly waterproof & non absorbent. All other waterproof adhesive & grout is only waterproof in the sense it wont disintegrate when wet, it will still absorb water &, in an outside environment, this will inevitably permeate down through the grout into the ply base below, the ply expands & there go your tiles again.
Tiling outside tables is not something I have any experience with but I understand very well how the materials behave & what happens if you get it wrong in a bathroom environment & I would think the chances of such a table lasting more than one summer/winter cycle are not very good. Taking into consideration the work involved, likely cost of materials & the risk of early failure, it may be easier & cheaper to buy a new patio table.