I don't have weekly data, here's the number of deaths for each:
Conoravirus: 115
Influenza: ~22,000
I hope people will soon get out of all this discussion that Influenza and cold-type viruses like coronavirus and norovirus (spelling??) especially Covid 19 and they are very different in populations in an apples to oranges type of way. We have had various strains of influenza each year for as long as we can remember. Influenza is a harsh ailment to most that get it but we have vaccines to prevent it. A lot of people do not get vaccinated against flu. We know how influenza works it's way through the population and how many people a sick person will contaminate. Each flu strain each year may not affect some number of people that hard because they have had it before.
This Covid 19 is a totally new strain or variant and people do not have immunity or some type of built up immune protection. There is no vaccine or medical prevention. C 19 seems to be spreading rapidly and easily. It seems from Wuhan and Italy if not much is done to prevent spread it will go like wildfire through the population. Right now the measures are being done to maintain hospital capacity.