I think you're going to get a range of answers simply due to the diversity of people and their personalities.
If you crash and burn miserably due to factors that you realistically could and should have known about and been able to control, your VC's probably won't be open to any new ideas from you - keeping in touch and a personal relationship would depend on the people in question and how much they like you as a person.
If you gave it your best and failed for reasons outside your control, or because of things realistically the VC couldn't expect you to predict, it's more likely they would be open to future endeavors.
At the same time though, you are going to have some VC's that if you fail, that's it, end of relationship - many probably have more tact than just deleting your phone number and ignoring you, but in their minds you will become a much lower priority.
Conversely, I've seen some people who just have a great personality that form a legitimate friendship with a VC that no matter how bad that person failed (this instance was quite bad) the VC still loved this person.
tl;dr: People have very different personalities - it's all dependent on the nature of the specific relationships in question.
If you crash and burn miserably due to factors that you realistically could and should have known about and been able to control, your VC's probably won't be open to any new ideas from you - keeping in touch and a personal relationship would depend on the people in question and how much they like you as a person.
If you gave it your best and failed for reasons outside your control, or because of things realistically the VC couldn't expect you to predict, it's more likely they would be open to future endeavors.
At the same time though, you are going to have some VC's that if you fail, that's it, end of relationship - many probably have more tact than just deleting your phone number and ignoring you, but in their minds you will become a much lower priority.
Conversely, I've seen some people who just have a great personality that form a legitimate friendship with a VC that no matter how bad that person failed (this instance was quite bad) the VC still loved this person.
tl;dr: People have very different personalities - it's all dependent on the nature of the specific relationships in question.