The situation for those who, like myself, work in applied linguistics is not actually so dire... At least when working with the languages that have a reasonable amount of training data. Decent enough treebanks exist for lemmatisation, POS-tagging, and dependency parsing for dozens of languages [0]. Fast tools such as spaCy (15 languages) [1] and udpipe (40+ languages) [2] are freely available and work well for most applied tasks. There are even decent word embeddings available trained on various versions of Wikipedia [3].
Of course, some of the issue is that these very tasks are biased towards the specific structures of Indo-European languages. However, for getting work done (building sentiment classifiers, document clustering, NER, ect.), currently available tools make it possible to work with a large proportion of the currently available data.
There is still a lot of work to be done own regards to computational research on non-English languages, but a lot of the problem right now is recognition of applied work by the top NLP conferences rather than a complete lack of quality work currently being done.
[0] https://universaldependencies.org
[2] https://ufal.mff.cuni.cz/udpipe/models
[3] https://github.com/facebookresearch/fastText/blob/master/doc...