I run a ton of Puppeteer jobs (300k in the last month), currently on EC2 and Digital Ocean VM's, mostly due to the subtle difficulties of running Puppeteer on Lambda.
Will certainly have a look at this project and contribute where possible.
My main concerns are not so much cold start time, as for my use case this is not really a huge issue, but mainly the performance of Chrome on AWS Lambda boxes. The rendering, navigation etc. needs to be snappy.