I think higher pressure velocity loads should probably be lubed with a luber sizer, and some of the harder lubes.
However for pistol bullets such as .45acp, 38special, 9mm tumble lube seems to be plenty. I used to tumble lube only, but I found that I needed to size my bullets anyway to get consistent feeding.
I can tumble lube, size with a lee sizer and relube still much faster then I can put bullets through my luber sizer. Note that all the bullets I've put through my luber sizer have been gas checked so that might slow me down some compared to what you might do for speed on a luber sizer with a non gas checked bullet for a true apples to apples comparison.
Other downsides to tumble lube bullets, is you lube the entire bullet, so once loaded the lube on the nose is exposed and can collect dirt and debris, so it either needs to be cleaned off, or you need to keep your ammo out of the dust and dirt.
To clean off tumble lube, you can wipe it off with solvent and a rag, contact cement remover works well, but anymore I just run the loaded ammo through a tumbler with a little mineral spirits on the media. 20 minutes or so seems to do the trick quite well.
In the end I use both methods, I tumble lube my 45's 38's etc since speed of making bullets for them is of the most importance to me when shooting 25 yards and large volumes. For 7mm bullets in my pistols such as 7tcu, 7 IHMSA etc, I use a lubersizer because of the higher pressures, and I don't shoot as many in a year, and I shoot at ranges out to 200m and beyond.
For my .45-70 so far tumble lubing a gas checked bullet has been working for me, but I'm considering using the luber sizer on them instead.