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As is visible from Table~\ref{tab:FitResults} and as appears clearly Fig.~\ref{fig:FitResults}, it is only with the TLEP high-statistics data samples that a model-independent precision systematically below 1\% (and at times approaching the per-mil level), required for the coupling measurements to become sensitive to (multi-)TeV new physics, can be obtained. The limited luminosity expected to be produced at linear colliders is vastly insufficient for this purpose.  It is also important to compare the projections of TLEP and ILC to those from the HL-LHC, as  to evaluate the added value of an $\epem$ Higgs factory after $3~\inab$ of proton-proton collision data. A truly model-independent fit cannot be performed from proton-proton collision data : the total decay width cannot be determined and the ${\rm H \to c\bar c}$ decay cannot be isolated by the LHC detectors. Additional assumptions thus need to be made for a meaningful comparison with $\epem$ Higgs factories. Here, constraints similar to those used in Ref.~\cite{Barger_Ishida_Keung_2012} are applied : it is assumed that no Higgs boson exotic decays take place, and that deviations of the charm and top couplings are correlated. The CMS report~\cite{1307.7135} submitted to the recent Snowmass process contains estimates of the CMS projected performance with $3~\inab$, with similar hypotheses, in two scenarios: Scenario 1 with all systematic uncertainties unchanged, and Scenario 2, with experimental systematic uncertainties scaling like $1/\sqrt{L}$ and theoretical errors halved. These estimates are displayed in Fig.~\ref{fig:HLLHC} and compared to a fit of the TLEP and ILC projections made under the same hypotheses.