I'm going to go out on a limb here and take advice from sources I consider reliable, and my anecdotal experience that lines up with it. Some of the specifics are from excellent discussion in
this thread (TB and Wolfy), reinforced by comments
here from MHB.
When stepping up yeast, there is a right and wrong way to go about it. I believe that most home brewers go the wrong way about it. Stepping up in small increments negatively affects yeast
health. Having lots of unhealthy yeast is going to throw all good intentions with fermentation into the wind as we're trying to bandaid a problem rather than fix the source.
As per OP's process, going from 2l > 4l > 10l is a 2x then 2.5x increase in stepping, assuming that all yeast slurry is used for the next step. This goes against recommended guidelines from the experts. Yes you will have a lot of yeast slurry, but you will also have yeast which has been trained to adjust itself to smaller wort:yeast ratios. This is where my knowledge ends and I'm not going to pretend to know what I'm on about.
This may be getting off-topic but we are talking about lager brewing. If there's one thing I've learned when using liquid yeast in a lager the management of the yeast and fermentation is critical to a good lager. Quite frankly I was blown away at the difference in the final product of my beers simply by managing my starter stepping, using O2 and yeast nutrient. On the fermentation side I haven't done much differently and still employ the diacetyl rest, but do it as a matter of course.