No. Except for very special cases, no.
In ordinary cases, myriad islands and stubs will be formed, which will resonate at random frequencies. While these frequencies may be in the low GHz, it's still a bunch of stuff that is not needed. And, as mentioned, it affects the characteristic impedance, when you do need that in a critical design.
If it should be needed, the burden is adding enough vias -- through as many layers as are being paired up for it, if not a plain thru-via process -- to nail down the ends and spans of those islands and stubs. It takes a lot of work, adding stitching vias -- even if there are functions to facilitate it in some tools, it's still more geometry that you are responsible to inspect, and place and move as needed.
On a 4 or 6 layer board, you're more likely to have thru-vias, which makes a terrible burden as far as trying to place stitching vias between components and traces on all layers.
I suppose you're more likely to have multiple drill pairs on 8+ layers, in which case you can make some simplifications at least, but you also have that many more layers to deal with...
Tim