You should err on the side of being on thesis. It is critical that your first investments are on thesis to prove the thesis to future LPs that will come into subsequent closings. While early markups are important, maintaining a consistent investment thesis is more crucial for long-term success and credibility with LPs.
The VC Lab Assistant is correct in general. If you have already invested in the deal personally, and have created a warehouse policy such as moving the angel investments made in the last 6 months into the fund, then it's ok to move the deal into the fund.
That being said, having a markup on a company that is not on thesis early in the fundraising cycle is not that useful because you will end up speaking about the company a lot post the 1st close during investment pitches. This can cause message confusion, or create questions/doubts/objections that you will need to defend.
That being said, having a markup on a company that is not on thesis early in the fundraising cycle is not that useful because you will end up speaking about the company a lot post the 1st close during investment pitches. This can cause message confusion, or create questions/doubts/objections that you will need to defend.