State tax filing

I am in the same situation as the OP: live in Delaware but work in Philadelphia...somewhat.  I work for a Texas-centered corporation that has work locations in many states, including the work location I was hired for in Philadelphia.  The employer address on the W2 indicates a Texas address but the employer's name on the W2 is listed as "[Company Name] of Pennsylvania LLC".    The W2 indicates taxes were paid to my home state of Delaware and also to the city of Philadelphia.  In normal times, I would be physically commuting to a work location in Philadelphia.   However, because of the pandemic, I've been working remotely from my home in Delaware for more than 3/4 of 2020.   My guess is that working remotely has no effect on the states I pay taxes to, correct?  In my situation, should I be filing a PA state tax return that shows my full gross adjusted income for this job, pay whatever PA tax amount calculates, and then apply my PA tax payment as a deduction on my DE state tax return?  Am I understanding this correctly?  Thanks in advance.