In theory... but the British railway is what it is, and I'm not sure that trying to refashion it in the image of the apparently wonderful German network is going to be very easy.
Fine if you are starting from scratch but we aren't starting from scratch - we are starting from a position where there are far too many quirks to consider.
I mean, you might consider the hourly departures from Edinburgh to Plymouth to be all part of the one service. But do any of them share the same stopping pattern? They are a mix of services that sometimes start at Aberdeen/ Glasgow, sometimes stop at smaller intermediate stations like Burton/ Tamworth and sometimes extend beyond Plymouth to Penzance etc. So would these services all have the same branding? What about the fact that at the Aberdeen/Penzance ends of the route they are no faster than the ScotRail/GWR services?
Some enthusiasts clearly see things in a very binary fashion. A train is either "suburban" or "non-suburban" to them. Services are either "InterCity" or "notInterCity". A lot of the time it depends on the strange classification that BR used to have (so Liverpool - Manchester - Leeds wasn't InterCity but London - Gatwick was InterCity...).
For me, it'd be far too complicated to try to "simplify" things like this nowadays. The railway is a muddle - would you start removing some irregular local stops because they don't fit into the classification of train?
Looking round here, Northern's Leeds - Nottingham is a fairly "flagship" regional service, so a cut above their stoppers... but at the moment there's a peak stop at Normanton and there are services routed via Derby to maintain route knowledge... would you remove these two quirks because they aren't in the standard pattern and therefore we inconvenience current passengers because we are hung up on our black/white definitions?
What about TPE stopping at Rotherham and Dore (which fills gaps between the Northern services)? Would they have to run non-stop through these stations because these irregular stops don't fit into someone's neat boundaries?
Same with EMR at places like Edale.
Should Virgin abandon stations in the Trent Valley and the token Northampton service?
How do you deal with evening/Sunday services that don't follow the regular pattern (because they are accommodating the lack of "local" service along a line at those times)?
I like the idea of a simple map showing a general guide to frequencies etc - it's a shame that you can't get an equivalent to the First "Overground" map of bus routes for each main station (it may improve people's appreciation of the network to have a colour coded map showing general frequencies to key destinations - but something as neat/regimented as the Japanese image posted above would be very disruptive and may inconvenience a lot more people than it benefits.
It's a bit like the idea people have of standardising InterCity, so that you can guarantee the same level of quality/comfort on every TOC (e.g. 2+1 seats, complimentary snacks, full hot meals available at an additional cost)... it's laudable that people want to have common standards but it'd be a nightmare to try to bring together.
For me, it'd only work in a "Metro" network where you have clear distinctions - the SWT approach of having "white", "blue" and "red" to differentiate fast/ medium/ slow services seemed to work (but there was no guarantee that stock wouldn't end up on the wrong "colour").
