Never have loyalty to any company - especially a bank. They are not loyal to you and will change policies, remove features, increase prices, or sell their business to a competitor on a whim.
This is especially true of banks and banking products. Always go with the lowest fees/highest savings rate. Most HISAs are fee-free these days anyway, so you can keep multiple accounts open and just move money into the one that gives the best return.
Companies make money by taking it away from you. Do whatever gets you the best deal, because if you don't, no company will ever do it for you.