Tier 1 gas has a specific additive package, pretty much identical to Techron, that is added to the fuel to provide additional cleaning.
Premium diesel is just marketing at its finest, there really is no definition. Some of the refiners have come out with a formulation package that slightly increases the miles/operating hours between DPF regeneration and thus can slightly decrease overall fuel consumption.
Fun info: gasoline is graded at retail by octane rating which is its ability to resist explosion when ignited under pressure while diesel is rated in cetane with higher numbers indicating its ability to combust more quickly and higher speed diesel engines benefit somewhat from higher cetane ratings BUT unlike gasoline, premium diesel has no specific definition that it has a higher cetane rating than non-premium diesel. In the diesel market, a fuel station can refer to diesel as premium simply because they have found that their customers are happier paying a premium price for diesel which of course also makes them happier.
I much prefer the smell of non-DPF treated diesel to the smell of a catalytic converter gas engine operating under load (i.e. following a baby size fake SUV towing far too large a trailer up a grade). I have owned my Deere 955 since 1995 and have never been bother by particulates, its exhaust pipe exits near the bottom of the engine compartment and that seems to keep any fumes and particulate away from the operator. My 2018 GMC is my first DPF equipped diesel, unlike its predecessors it still has a pristine looking exhaust pipe. The DPF does an excellent job of capturing particulate matter because that is its sole purpose; diesel particulate matter came under regulation because it is defined as a carcinogen (even outside of California where everything causes cancer
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Gas engines also create particulate matter, particularly direct injection types. All three of my cars have GDI engines and all produce far more noticeable particulate buildup than previous port injected engine cars. This is my Corvette Z06 in the video with about 200 miles on it since the last time I cleaned the particulate specs off the exhaust, it is particularly noticeable in the outer pipes which is where the majority of the flow occurs with its dual mode exhaust set to either the sport or track position.
https://rodgersingley.smugmug.com/Corvette-idle/n-WBG75x/i-f2bgnmj/A
Rodger