The EU's DMA team replied to a previous inquiry:

> [...] the Digital Markets Act (‘DMA’) obliges gatekeepers like Google to effectively allow the distribution of apps on their operating system through third party app stores or the web. At the same time, the DMA also permits Google to introduce strictly necessary and proportionate measures to ensure that third-party software apps or app stores do not endanger the integrity of the hardware or operating system or to enable end users to effectively protect security. [...]

They seem to be on it, but no surprise: it's all about Google's claims for "security" and "ongoing dialogue gatekeepers".

Freedom to use own hardware or software, no.