Never tried Zoho CRM but we tried Hubspot Marketing Hub integration with Intercom and then later with Fresh Desk...and there were leakages at different places and workflows.. sometimes chat messages, contact enquiries through website, scheduling drips on some specific accounts based on our use cases/or where more tickers were raised... and then the biggest challenge we faced were an alignment of the all the data and metrics we needed between marketing, sales, product, customer success and support. We then moved entirely to Hubspot with Sales Hub and Service Hub together, it might cost you a bit more but lots of additional effort later on will be saved and things will be more streamlined and automated.