I've never investigated tubes much.
Latex ones are supposed to offer some advantage (weight, rolling resistance, pinch flat resistance...) at the cost of losing pressure faster and be near impossible to patch.
Never had any, so can't vouch for any of the above.
Tires have more character to them IMO.
My MTBs always gets the grippiest, most fast-wearing compounds. They don't see enough mileage for wear to be an issue. OTOH I do believe I notice the performance gains on slick rocks and roots.
Schwalbe (used to) call theirs "qualifier compound", Conti calls theirs "Black Chili".
On the commuter and road bike I'm not that picky outside winter season.
I "never" corner or brake hard enough for friction to be a performance limiter anyhow.
I'm more likely to discard a tire for being difficult to mount or roll heavily than for being too slick.
Winter tires are more difficult.
Cheap ones might have too soft studs, that wear out "immediately" if you ride on bare ground with icy patches.
Suomityres have had good life, both in studs and carcass, but all roll quite heavily.
Schwalbe Marathon Winter rolls better, have the same stud life, but the carcass tends to fail behind the base of the studs, causing flats, at an embarrassingly low mileage.