Not exactly.
There are two senators/state because Delaware and New Jersey threatened to leave the Constitutional Convention if they didn’t get their way. It was quite unfair actually for Delaware with 40,000 inhabitants to have the same Senatorial representation as Virginia with ten times the number.
IIRC, the delegates considered seven different modes of electing a President. Electors chosen by State legislatures was selected not because it was a great system, but because it was the mode least likely to be corrupted.
Ive always thought of it as genius on the Founding Fathers part.....Having just the House with with proportional voting is like a Democracy...Mob Rule!...They understood the principles of a Republic where even the little guy (small state) had equal protection...
By adding the Senate and giving equal power to the smaller states, they guaranteed protection from mob rule and a check as to what was best for the WHOLE COUNTRY, not just the populated states (checks and balances).....
Instead of running roughshod over the little guy (a Democracy)...Laws must be crafted so as not to disenfranchise the little guy (a Republic)