Should the level of protection of a sitting US President be different from the kind of protection members of US Congress have when they are inside Capitol Hill?

Isn’t it so that most Americans are under the impression that if the White House with the President inside gets attacked by a mob, the US Secret Service along with other WH security personnel would not hesitate to open fire at them?

Based on the revelation on the level of security in yesterday’s attack by a seditious mob incited by Trump against members of Congress, could this mean that the life of a US President is more important than that of US Senators and House Representatives?