I think the sequence of picking the dices will have a significant effect on the entropy but there is a decent cushioning before you'll really endanger the user's funds. You can only truly achieve 256bits of entropy with 100 unbiased dice rolls. Picking all of them with bias would just be creating a brainwallet.
Theoretically, the biased sequence of picking the dices after a single roll could drastically decrease entropy and therefore lead to a loss of funds. Let us assume that a potential newcomer has no idea about how exactly a seed phrase is generated and why the degree of disorder is so important when calculating a given phrase. In my opinion, an average user doesn't necessarily need to know all this, otherwise, we will never see widely adopted bitcoin. Anyway, he or she just purchased their first ColdCard hardware wallet and also a set of dices, for whatever reason. Later, they found an interesting option in it, which is manual wallet generating via dice rolls. It sounds cool and familiar: it is like a game. They tossed their 100 dices at once, and then they need to insert these numbers into their wallet. The problem is they don't know at which sequence to count dices.
They asked ColdCard developers and got an answer:
The sequence doesn't matter, you must be paranoid if you ask this!
They counted their dices the way they saw fit and got a random number: 1111111111111222222222222222222333333333333333333333344444444444444444444444444
44555555555555555555555555......6666666666666666
They inserted that number and generated a seed phrase.