Fire based EMS isn't universally hated, however the IAFF and fire-based propaganda is. Having an 80/20 split of EMS to Fire calls, as well as an 80/20 split for Fire to EMS funding is hated, as well as having the EMS providers in the Fire based EMS system be treated like redheaded ******* stepchildren who aren't given the tools, staffing, or funding to do the job well, yet their suppression counterparts have a wish list that they get every year. That type of stuff makes pro EMS people people not look favorably on fire based ems, especially when FFs get hired, and immediately start counting the days until they get off the ambulance....
There are exceptions, and based on what you have said about your department, your department is one of them, but that is definitely not the norm.