Fair enough -- I just want to stress that you should talk to the police through a lawyer.
You should not sit down and talk to the police unless your lawyer is sitting directly next to you. Ideally, your lawyer should contact the police on your behalf with your alibi and you should never directly talk to them.
We can't realistically keep a jury from holding that against you the same way that we can't realistically keep a jury from randomly misinterpreting the law, or convicting someone just because they're black -- but we make it clear to them that they're really not supposed to. And the risk from talking to the police without a lawyer present is much higher than the risk of a jury punishing you for exercising your 5th Amendment rights -- you should err on trusting a jury to do the right thing more than you should err on trusting a prosecutor to do the right thing.
Except in a very few cases related to terror or fraud or being at the border you have a right to a solicitor before answering questiins. Furthermore if the police don't allow you one then they would be breaking the law.
It is a fact full stop that a jury can hold it against you if you unreasonably delay giving important information - it's not my opinion.