The alternative company: are they going to stay in the technological dark ages? Or do they want to employ you because they want to upgrade their systems and modernise their accounting methods?

Ask them. If you can get them to implement the modern accounting software systems that you are used to, and even if they are resistant, if you can persuade them how much more efficient it will be, what the benefits are in terms of generating different types of reports and forecasts and so on.

Maybe you can get the best of both worlds? Maybe you can get them to upgrade and modernise and you can also benefit from a higher salary?