I have to say it again, as SS just did, but it can't be said enough.....volume is workload, weight x sets x reps. It isn't cramming 10lbs of shit in a 5lb bag. 5x5 IS volume training, add up the squats/pulls/presses for the week and you're doing a lot more than the guy who rows 1-2 heavy sets a week then does lat pulldowns with 37 different attachments. Lower volume is required to deload or peak or both....one isn't better than the other, regardless of your goals.
AND...intensity is tangible, you can measure it. It's simply % of 1RM...it isn't some abstract feeling of "workin' real hard", it isn't pump/soreness/not being able to walk for 3 days, and it isn't your training partner slapping you and cursing at you, lol.