That's a big question with a long answer.
However the short answer is:
All maximum fuelling rates are controlled by requested fuelling and air charge.
Air charge is regulated by requested fuelling, turbo efficiency, wastegate modulator setup/target boost levels, AAT, AAP and intercooler performance.
Egt is controlled by turbo efficiency,  fuel rates AAP, AAT, intercooler performance and RPM.
Turbo efficiency is controlled by its own design, and pretty much all of the factors above, including pressure ratio.
Short story shorter, winding up the boost with a blocked filter will increase pressure ratio making intake air hotter, however the increased air flow will offset it to some degree, but of course the law of diminishing returns will bite you on the bum.
Shorter story even shorter....

 No it probably wouldn't, and it could rupture your air filter and kill the engine.
And now the down low....
Get a decent air filter and keep it clean!
The tune will take care of the rest.
Cheers
James
PS. I'm not good at short answers
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