Pretty much any vector|matrix operations will see row against column (or colum against row) operations in equal proportion - what you gain on the swings you lose on the roundabouts whichever way you choose to orientate storage.
Indeed, given large sparse arrays, language specific default array storage methods might not even be used - and here C is (arguably) more flexible at building task specific data structures - a column(?) of pointers to row fragments (perhaps).
The big advantage early FORTRAN had was baked in anti alias assumptions and a truckload of pre existing relatively accessible NIST | NASA grade quality numerical algorithms that had been crawled over, eyeballed, tested, and pounded in simulations by many qualified applied scientists.
Yeah. That Fortran library that has a solver for sparse complex matrices that won't produce nonsense if you give it a stiff problem, that has 50 years of people pounding on it to make sure that it's rock solid? I'm not sure that there's a C/C++ equivalent for it. I absolutely cannot write an equivalent. Yes, I can write a matrix solver that takes complex data. No, I can't write one that is as efficient, as numerically stable, or as bug-free as what already exists in Fortran.
They keep the fingerpokkens off the blinkenlights.
It's a whole other ballgame when the problem domain demands near raw pipelined handling of big data streams that don't align with any type of default internal Fortran data storage.
The classic example would be late 1980s | 1990s processing of satellite image data from ground stations - the pipelines were fat (relative to the hardware of the day) and the data arrived in BIL (Band interleaved) and|or not BIL, and all manner of jumbled formats that made sense on the aquisition side.
The tools written then, back in the day, had to gulp in big end | little end data, 8 bit, 12 bit, 24 bit, and 32 bit data, and to performantly reproject and geomontage on the fly ended up with the same forms of optimizations duplicated across a crazy circus of incoming raw storage combinations.
Whether tackled via C or FORTRAN just simply reading in data and hoping it matched native FORTRAN array structures wasn't an option.