I will politely disagree about using this somewhat "strong" de-greaser for cleaning rubber and vinyl mats. It might be "safe" if used diluted to 1:2 or more, BUT most uneducated (IE, those who do not read the label and its warning) individuals may use this product full strength and then wonder why their floor mats look streaked and "lightened" or "faded". The MSDS information says it contains Diethylene Glycol Monobutyl ether in a 1% to 5% concentration by weight (depends on the exact product a consumer buys, the ready-to-use spray or bulk (AKA, large) container concentrate). Then look at their own Frequently Asked Questions (FAQ) page on their website, you will see it is NOT recommended for cleaning many materials found in automotive vehicles. THAT should be a red flag to anyone. And no, vinyl in NOT on that list, but rubber roofing IS. I just would not use it to clean a vinyl or rubber mat, but that is me.
I think there are a host of automotive all-purpose cleaners (APCs) that can and should be used to safely clean such mats, provided the label directions for dilution ratios are meticulously followed.
As far as treating or protecting them , there are, again, specialty products for use on mats that are non-slippery. Just look under floor mat cleaners and protectants.
There seems to be a fine line between preventing/mitigating occupant/driver mat footing slippage ingress and egress (AKA, getting in and out) versus the physical appearance of a vinyl mat and which is more important. That`s up to you.
Yes, I treat/protect my mats with diluted 1:3 Aerospace 303, and yes, even wiped off, they are "somewhat" slippery, but they do look rejuvenated.
But on friends and family vehicles, NO, they are only cleaned and left unprotected and , yes, they do look "faded" BUT I do not worry about the safety hazard liability that I may have caused if I did protect the mats. That`s just common sense and good customer relations.