Maybe...
John in NM
I used to assume that all jointer problems were lack of coplanar beds and spent a lot of time fussing with the adjustment and measurement on a couple of wedge bed jointers (what most of us have). More often than not, I found that height of the outfeed was the real problem - when the last inch or so hardly cuts at all, the outfeed is too high.
Is it too high because the beds are coplanar and it's just above the tangent line of the cutter head, or because the outfeed sag moves it's plane away from that tangent? Doesn't matter - for either one you need to lower the outfeed. Keeping pressure on the outfeed side makes it possible to avoid problems with slight bed misalignment, so long as the outfeed height is good.
Now other problems may come with severe sags, but I think those are quite rare - I've never seen one.
For the most part, I've found that beds don't sag a whole lot. The reason for the success of the ubiquitous wedge bed jointer is that its relatively easy to build compared to a parallelogram or other multi-point bed, and if it is set up to be coplanar it tends to stay that way. A possible exception is a jointer that someone tried to adjust and got off in the weeds, thinking a long aluminum straight edge was more accurate than a big cast iron bed.
I certainly don't know everything about jointers, I only know the mistakes I've made before. One was assuming that the solution to this very problem wasn't simple. Try the simple solution before tacking the complex one - there is no downside to approaching it this way. Just my 2 cents.