Holtzichfest- To say it’s a chiyuv of vehigeesuh yomam etc… is not necessarily true. As a matter of fact it’s a machlokes in the gemorrah. Also, the SA paskens- B’shas hadechach you are yotzay with krias shema. Also the SA paskens- B’akroy you can learn other chuchmahs. The gedolim who paskened obviously held learning secular subjects in yeshiva is B’akroy. And it might be mutter without this, because secular subjects are needed for daily living, like math, english, etc…
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